11) Prove quadrilateral ABCD is a parallelogram A(-2, 8), B(2, 7), C(5, 1), and D(1, 2) *

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Explanation:

The quadrilateral will be a parallelogram if the diagonals bisect each other. That is, their midpoints are the same point. We don't actually need to calculate the midpoint. Rather, we can calculate the point that has double the coordinate values.

If (A+C) = (B+D), the quadrilateral is a parallelogram.

  A +C = B +D

  (-2, 8) +(5, 1) = (2, 7) +(1, 2)

  (-2+5, 8+1) = (2+1, 7+2)

  (3, 9) = (3, 9) . . . . . the figure is a parallelogram

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Of course, the midpoint of the diagonals is (3/2, 9/2).

step-by-step explanation:

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%